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balu736 [363]
3 years ago
11

He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get

to the end of the trail
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

Answer:

10x^2-x+3 miles.

Step-by-step explanation:

It is given that,

Total length of park trail = 10x^2+4x+2 miles

Total length traveled by hiker = 5x-1 miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length =10x^2+4x+2-(5x-1)

               =10x^2+4x+2-5x+1

               =10x^2+(4x-5x)+(2+1)

               =10x^2-x+3

Therefore, hiker need to travel 10x^2-x+3 miles to get to the end of the trail.

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A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for eac
ollegr [7]

Answer:

Profit for 100 burritos: $550

Cost to make one burrito: $2.50

Step-by-step explanation:

If a restaurant sells burritos for $8, that's a positive 8 dollars they earned. Then, we need to find what the cost was to make the burrito. If the meat is 1.50 and the cost for all the other ingredients is 1 dollar, then they lose 2.50 for every 8 dollars they make (for each burrito). So, to find the profit in one burrito, we would add -2.5+8, giving us an answer of 5.5. So, they earn 5 dollars and 50 cents each burrito and lose $2.50.

Now, we need to find the profit of 100 burritos

If one burrito is $5.50 in profit, then we take that amount and multiply it by 100. This is to make the illitsratution of selling 100 burritos. So, 5.50*100 would be 550! They would make $550 for 100 burritos, and lose 250 dollars on all of the burrito ingredients.  

6 0
2 years ago
Read 2 more answers
Find all the zeroes of the equation. x4 – 6x2 – 7x – 6 = 0
NeX [460]

Answer:

-2, 3,  -0.5 + 0.866i,   -0.5 - 0.866i.

Step-by-step explanation:

As the last term is -6 , +/- 2 , +/- 3 are possible zeroes.

Try 2:-

(2)^4 - 6(2)^2 - 7(2) - 6 = -28 so  2 is not a zero.

3:-

(3)^4 - 6(3)^2 - 7(3) - 6 = 0 so 3 is a zero.

(-2)^4 - 6(-2)^2 - 7(-2) - 6 =  0 so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  x^2 - x - 6

gives  x^2 + x + 1

x^2 + x + 1

So we have x^2 + x + 1 = 0

x =  [-1 +/- √(1^1 - 4*1*1)] / 2

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

7 0
3 years ago
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Dovator [93]
The answers are A,C,&E
3 0
2 years ago
Find the angle that makes them supplementary.
8090 [49]

Answer:

Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles.

A line segment has two end points.

A ray has only one end point (its vertex).

A line has no end points on either side.  

This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:

Pairs of Angles          Condition

Two complementary angles Measures add up to 90°

Two supplementary angles Measures add up to 180°

Two adjacent angles Have a common vertex and a common arm but no common interior

Linear pair Adjacent and supplementary

A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

All the types are discussed in detail and are supplemented with examples and short questions.  

Under the topic pair of lines, various sub-sections are discussed namely:

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Transversal  

Angles made by a transversal

When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.

A transversal is a line that intersects two or more lines at distinct points.

Six angles discussed in this section:

1. Interior angles

2. Exterior angles

3. Pairs of Corresponding angles

4. Pairs of Alternate interior angles

5. Pairs of Alternate exterior angles

6. Pairs of interior angles on the same side of the transversal

Transversal of parallel lines

5 0
3 years ago
A plant is already 14.00 meters tall, and it will grow 8 centimeters every month. The plant's height, H(in meters), after x mont
djverab [1.8K]

Answer:

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Step-by-step explanation:

the function is already given to you so you can just plug 50 into x because x represents the # of months

H(x)=14+0.08(50)

H(x)=14+4

H(x)=18

So it's 18 meters tall

4 0
3 years ago
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